2(k-1)=k+3

Solution for 2(k-1)=k+3 equation:

Simplifying
2(k + -1) = k + 3

Reorder the terms:
2(-1 + k) = k + 3
(-1 * 2 + k * 2) = k + 3
(-2 + 2k) = k + 3

Reorder the terms:
-2 + 2k = 3 + k

Solving
-2 + 2k = 3 + k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-1k' to each side of the equation.
-2 + 2k + -1k = 3 + k + -1k

Combine like terms: 2k + -1k = 1k
-2 + 1k = 3 + k + -1k

Combine like terms: k + -1k = 0
-2 + 1k = 3 + 0
-2 + 1k = 3

Add '2' to each side of the equation.
-2 + 2 + 1k = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 1k = 3 + 2
1k = 3 + 2

Combine like terms: 3 + 2 = 5
1k = 5

Divide each side by '1'.
k = 5

Simplifying
k = 5